Positive periodic solutions for second order impulsive differential equations

Jianhua Shen 1 , Weibing Wang 2 ,  and Zhimin He 3
  • 1 Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, P.R. China
  • 2 Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan 411201, P.R. China
  • 3 College of Science, Zhejiang Forestry University, Hangzhou, Zhejiang 311300, P.R. China

Abstract

The existence of positive periodic solutions for a class of second order impulsive differential equations is studied. By using fixed point theorem in cone, new existence results of positive periodic solutions are obtained without assuming the existence of positive periodic solutions of the corresponding continuous equation.

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